2.2, 2.13 due on 10/8

Difficult
I had trouble understanding the definition of conditionally independent and pairwise independent. It seems conditionally independent means two events are still independent of each other regardless of another third event. For pairwise independence, I thought of it as an extension of an independent collection, where the finite set F has cardinality 2. I also had trouble with the idea of protocol. It seemed like the first example (Tom and siblings) was like the ones we've done in class. It didn't occur to me that Tom could be a twin or a girl. For the goat/car example, I'm still not sure how the emcee's involvement changes the probability.
Reflective
Despite my confusion, I find the idea of protocol very intriguing. It shows we have to consider all factors of a problem or question before thinking about the answer. It was interesting to note how the examples in section 2.13 were published and the majority of the readers (including myself) were deceived and answered incorrectly.